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Finding the Fourth Proportional to 20,477.89, 30,697.37 and 8,005.91

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Solution

The fourth proportional to 20,477.89, 30,697.37 and 8,005.91 is: 12,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.89 : 30,697.37 = 8,005.91 : x
  2. Step 2: Convert to fraction form
    20,477.89/30,697.37 = 8,005.91/x
  3. Step 3: Cross multiply
    20,477.89x = 30,697.37 × 8,005.91
  4. Step 4: Simplify right side
    20,477.89x = 245,760,381.46
  5. Step 5: Solve for x
    x = 245,760,381.46/20,477.89
  6. Step 6: Final answer
    x = 12,001.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.